The value of Kayla's investment can be modeled by the equation y=2650(1.05)x where x is the number of years invested and y is the value in dollars. What will be the value of the investment after 25 years? Round your answer to the nearest dollar.

Answers

Answer 1

Answer:

8,974 dollars

Step-by-step explanation:

y=2650.(1.05)^x

x=25

2650(1.05)^25 = 8974 dollars


Related Questions

24g ____ 1,679mg?
Complete the inequality statement

Answers

Answer:

24g  > 1,679mg

16. Describe the type of solution for the linear system of
equations given below.
2x + 3y = 15
6y=-4x + 12
F.
no solution
G. infinite solutions
H.
one solution
J. two solutions

Answers

Answer:

Step-by-step explanation:

2x+3y=15

multiply by 2

4x+6y=30   ...(1)

6y=-4x+12

4x+6y=12    ...(2)

(1) and (2) represent parallel lines.

Hence no solution.

Graph the function f(x) = x3 – 3x – 2. Based on the graph, which value for x is a double root of this function?

–2
–1
1
2

Answers

The value for x that is a double root of this function is x = -1

How to determine the double root?

The function is given as:

f(x) = x^3 - 3x - 2

From the graph of the above function (see attachment), we have the following highlights:

The curve crosses the x-axis at x = 2The curve touches the x-axis at x = -1

The point that it touches the x-axis is the double root point

Hence, the value for x that is a double root of this function is x = -1

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Simplify. x^2+5x-/14 x²+8x+7​

Answers

please send a picture of it

the equation seems a lil bit complicated

Evaluate bh for b = 12 and h = 2. Type a numerical answer in the space provided.

Answers

The value of bh for b =12 and h = 2 is 24

How to evaluate the expression?

The expression is given as:

bh

Where

b = 12 and h = 2

So, we have:

bh = 12 * 2

Evaluate

bh = 24

Hence, the value of bh for b =12 and h = 2 is 24

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Find the critical value needed to construct a confidence interval of the given level with the given sample size. Round the answer to at least three decimal places. Level 95%, sample size 10.

Answers

Using the t-distribution, the critical value needed is: t = 2.2622.

How to find the critical value for the t-distribution?

The critical value is found using a calculator, with two parameters:

The confidence level.The number of degrees of freedom, which is one less than the sample size.

For this problem, we have a confidence level of 95% and 10 - 1 = 9 df, hence the critical value is t = 2.2622.

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The sum of three consecutive integers is -15.
If 1 is added to each integer, what is the product.
of the three resulting integers?

Answers

-18 maybe not to sure
-18 not sure buddy but tryit’s really good

20) Chester bought a new car with a sticker price of $18,675. He paid 25% of the cost as a down payment. What
amount did he finance?
O a.) $14,016.25
Ob.) $14,126.25
O c.) $14,006.25
Od.) $14,106.25

Answers

Answer:

B is correct

The games have been sorted into video games and board games. The number of video games is 28 less than 6 times the number of board games. The games are 80% video games. How many board games are there?
8
10
13
14

Answers

The number of board game sorted is 14

How to find the number of games?

The games have been sorted into video games and board games.

The number of video games is 28 less than 6 times the number of board games.

Therefore,

the number of board games = x

number of video game = 6x - 28

The games are 80% video games. Hence,

80 / 100 × x + 6x - 28 = 6x - 28

4 / 5 × 7x - 28 = 6x - 28

4 / 5 (7x - 28) = 6x -28

28 / 5 x - 112 / 5  = 6x - 28

28 / 5 x  - 6x = -28 + 112 / 5

28x - 30x / 5 =  - 28 + 112 / 5

-2x / 5  = -28 / 5

-10x = -140

x = 14

Therefore, the number of board game sorted is 14.

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Answer:

14

Step-by-step explanation:

80 / 100 × x + 6x - 28 = 6x - 28

4 / 5 × 7x - 28 = 6x - 28

4 / 5 (7x - 28) = 6x -28

28 / 5 x - 112 / 5  = 6x - 28

28 / 5 x  - 6x = -28 + 112 / 5

28x - 30x / 5 =  - 28 + 112 / 5

-2x / 5  = -28 / 5

-10x = -140

x = 14

Please Please Please help with this math problem

Answers

The revenue as a function of x is equal to -x²/20 + 920x.The profit as a function of x is equal to -x²/20 + 840x - 6000.The value of x which maximizes profit is 8,400 and the maximum profit is $3,522,000.The price to be charged to maximize profit is $500.

How to express the revenue as a function of x?

Based on the information provided, the cost function, C(x) is given by 80x + 6000 while the demand function, P(x) is given by -1/20(x) + 920.

Mathematically, the revenue can be calculated by using the following expression:

R(x) = x × P(x)

Revenue, R(x) = x(-1/20(x) + 920)

Revenue, R(x) = x(-x/20 + 920)

Revenue, R(x) = -x²/20 + 920x.

Expressing the profit as a function of x, we have:

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = -x²/20 + 920x - (80x + 6000)

P(x) = -x²/20 + 840x - 6000.

For the value of x which maximizes profit, we would differentiate the profit function with respect to x:

P(x) = -x²/20 + 840x - 6000

P'(x) = -x/10 + 840

x/10 = 840

x = 840 × 10

x = 8,400.

For the maximum profit, we have:

P(x) = -x²/20 + 840x - 6000

P(8400) = -(8400)²/20 + 840(8400) - 6000

P(8400) = -3,528,000 + 7,056,000 - 6000

P(8400) = $3,522,000.

Lastly, we would calculate the price to be charged in order to maximize profit is given by:

P(x) = -1/20(x) + 920

P(x) = -1/20(8400) + 920

P(x) = -420 + 920

P(x) = $500.

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Describe the function over each part of its domain. State whether it is constant, increasing, or decreasing, and state the slope over each part.

Answers

The function is illustrated below based on the information.

How to describe the function?

When x <= 8000

The cost remains constant at 0.35 when x increases from 0 to 8000. The slope of the cost function over this part is 0

When 8000 < x <= 20000

The cost remains constant at 0.75 when x increases from 8000 to 20000 and the slope of the cost function over this part is 0.

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the equation y=ax describes the graph of a line.if the value of a is negative,the line

Answers

If the value of a is negative, the line is reflected across any of the axis

How to describe the line?

The equation is given as:

y = ax

The new line is given as

y = -ax

The above implies that y = ax is transformed to y = -ax

The transformation can be any of:

reflection across the x-axisreflection across the y-axis

Hence, if the value of a is negative, the line is reflected across any of the axis

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Membership selection. A town council has ​members, Democrats and Republicans.

​(A)

If the president and​ vice-president are selected at​ random, what is the probability that they are both​ Democrats?

​(B)

If a​ 3-person committee is selected at​ random, what is the probability that Republicans make up the​ majority?

The probability that they are both Democrats is approximately

enter your response here.
​(Type a decimal. Round to three decimal​ places.)

Answers

Using the hypergeometric distribution, the probabilities are given as follows:

a) 0.2 = 20%.

b) 0.5539 = 55.39%.

What is the hypergeometric distribution formula?

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.

Researching this problem on the internet, it is found that the council has 15 members, of which 7 are Democrats and 8 are Republicans.

Item a:


The parameters are:

N = 15, n = 2, k = 7.

The probability is P(X = 2), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,15,2,7) = \frac{C_{7,2}C_{8,0}}{C_{15,2}} = 0.2[/tex]

Item b:

At most one Democrat, with n = 3, hence:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

In which:

[tex]P(X = 0) = h(0,15,3,7) = \frac{C_{3,0}C_{8,3}}{C_{15,3}} = 0.1231[/tex]

[tex]P(X = 1) = h(1,15,3,7) = \frac{C_{3,1}C_{8,2}}{C_{15,3}} = 0.4308[/tex]

Then:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.1231 + 0.4308 = 0.5539[/tex]

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Determine the domain and range of the following and show/explain your work.
5 y = - x^4 + 4 Provide a graph to verify your answer.

6 y = 2x^3 - 1 Provide a graph to verify your answer.

7 y = 3√(2x+8) Provide a graph to verify your answer.

Answers

See below for how the domain and the range are calculated

How to determine the domain and the range?

Function, y = -x^4 + 4

The function is given as:

y = -x^4 + 4

See attachment for the graph

From the attached graph, we have:

Domain = Set of all real numbersRange = Set of real numbers less than or equal to 4

Function, y = 2x^3 - 1

The function is given as:

y = 2x^3 - 1

See attachment for the graph

From the attached graph, we have:

Domain = Set of all real numbersRange = Set of all real numbers

Function, y = ∛(2x + 8)

The function is given as:

y = ∛(2x + 8)

See attachment for the graph

From the attached graph, we have:

Domain = Set of all real numbersRange = Set of all real numbers

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root of polynomial function f(x)=(x-3)^4(x+6)^2

Answers

28832883838828999888

A random sample of n D 225 and xN D 21 was drawn from a normal population with a known

standard deviation of 26:8: Calculate the 95% confidence interval of the population mean.

Answers

Using the z-distribution, the 95% confidence interval of the population mean is: (17.5, 24.5).

What is a z-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

For this problem, the other parameters are:

[tex]\overline{x} = 21, \sigma = 26.8, n = 225[/tex]

Hence the bounds of the interval are:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 21 - 1.96\frac{26.8}{\sqrt{225}} = 17.5[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 21 + 1.96\frac{26.8}{\sqrt{225}} = 24.5[/tex]

The interval is: (17.5, 24.5).

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Will mark brainliest
Find an equation of the tangent line to the function
y = 3x2
at the point P(1, 3).
Solution
We will be able to find an equation of the tangent line ℓ as soon as we know its slope m. The difficulty is that we know only one point, P, on ℓ, whereas we need two points to compute the slope. But observe that we can compute an approximation to m by choosing a nearby point
Q(x, 3x2)
on the parabola (as in the figure below) and computing the slope mPQ of the secant line PQ. [A secant line, from the Latin word secans, meaning cutting, is a line that cuts (intersects) a curve more than once.]

Answers

The equation of the tangent line to the quadratic function y = 3 · x² at the point (x, y) = (1, 3) is y = 6 · x - 3.

How to determine the equation of a line tangent to a quadratic equation by algebraic methods

Herein we must determine a line tangent to the quadratic equation y = 3 · x² at the point P(x, y) = (1, 3) by algebraic means. The slope of the line can be found by using the secant line formula and simplify the resulting expression:

m = [3 · (x + Δx)² - 3 · x²] / [(x + Δx) - x]

m = 3 · [(x + Δx)² - x²] / Δx

m = 3 · (x² + 2 · x · Δx + Δx ² -  x²) / Δx

m = 3 · (2 · x + Δ x)

If Δx = 0, then the equation of the slope of the tangent line is:

m = 6 · x

If we know that x = 1, then the slope of the tangent line is:

m = 6 · 1

m = 6

Lastly, we find the intercept of the equation of the line: (x, y) = (1, 3), m = 6

b = y - m · x

b = 3 - 6 · 1

b = - 3

The equation of the tangent line to the quadratic function y = 3 · x² at the point (x, y) = (1, 3) is y = 6 · x - 3.

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The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65° E, and the two towers are 31 kilometers apart. A fire spotted by rangers in each tower has a bearing of N 80° E from the Pine Knob and S 70° E from Colt Station (see figure). Find the distance of the fire from each tower. (Round your answers to two decimal places.)
From Pine Knob:

Answers

The equation that can be used to find the height of the tree is as follows:

[tex]\frac{h}{sin 29} =\frac{40}{sin147}[/tex]

The height of the tree is 35.6 m

How to use sine rule to find height of the tree?

Th equation that can be used to find the height of the tree uses the principle of sine rule.

Therefore,

[tex]\frac{h}{sin 29} =\frac{40}{sin(180-4-29)}[/tex]

[tex]\frac{h}{sin 29} =\frac{40}{sin147}[/tex]

Therefore,

[tex]\frac{h}{sin 29} =\frac{40}{sin147}[/tex]

cross multiply

h sin 147 = 40 sin 29°

h = 40 sin 29° / sin 147

h = 19.3923848099 / 0.54463903501

h = 35.6015636045

h = 35.6 m

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Consider the probability that exactly 90 out of 147 students will pass their college placement exams. Assume the probability that a given student will pass their college placement exam is 56%.

Approximate the probability using the normal distribution. Round your answer to four decimal places.

Answers

Answer:

Step-by-step explanation:

i didnt do anything bro why u delete my answer

necesito ayuda con estas operaciones
3x=12
3x= -5=0
x+4=17
9y+3=21
5(x-2)=20
x÷2=4
2x÷=4
5÷x=2
4x+5=3x-6
3(x-2) =0
x÷3-4=0
5(7-x) =31-x
3(2x-2) =2(3x+9)

Answers

The expressions are illustrated below.

How to compute the expression?

3x = 12

x = 12/3

x = 4

x + 4 = 17

x = 17 - 4

x = 13

9y + 3 = 21

9y = 21 - 3

9y = 18

y = 18/9

y = 2

x ÷ 2 = 4

x = 4 × 2

x = 8

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Any ideas for this graph

Answers

It’s a parabola;
(X+1)(X+3) = 0

X intercepts are at x=1 and x=3
Y intercept is at y=3

It’s neither odd one even function.

How many more people attended from the 40-60 class than the 60-80

Answers

Answer:7 people

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

What is the volume of this prism if a scale factor of 1.25 is applied to its dimensions?

A. 17.00 cubic units

B. 33.20 cubic units

C. 21.25 cubic units

D. 13.60 cubic units

Answers

Answer: B

Step-by-step explanation:

1: 5 × 1.25 = 6.25

 2 × 1.25 = 2.5

 1.7 × 1.25 = 2.125

2: L × W × H = 6.25 × 2.5 × 2.125 = 33.20 cubic

Tyler wants to have $250,000 in his retirement account by the time he retires in 30 years. The interest rate is 5%. Use the annuity formula to calculate the amount Tyler needs to deposit on a monthly basis in order to reach his goal. When solving, round numbers to the nearest hundred-thousandth. Round your final answer to the nearest cent.

Answers

Using the monthly payment formula, he needs to deposit A = $1,342.12 a month to reach his goal.

What is the monthly payment formula?

It is given by:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

In which:

P is the initial amount.r is the interest rate.n is the number of payments.

For this problem, the parameters are:

P = 250000, r = 0.05, n = 12 x 30 = 360.

Then:

r/12 = 0.05/12 = 0.004167.

Then:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

[tex]A = 250000\frac{0.004167(1+0.004167)^{360}}{(1+0.004167)^{360} - 1}[/tex]

A = $1,342.12

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Suppose Mai places $3500 in an account that pays 19% interest compounded each year.
Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding.
(a) Find the amount in the account at the end of 1 year.
S
(b) Find the amount in the account at the end of 2 years.

Answers

Answer:

a.$4165

b.$4956.35

Step-by-step explanation:

a)19% × 3500 = 665.

3500+665 =4165

b)19% × 4165 = 791.35

4165+791.35= 4956.35

lim
x →1+. 1- x/x² - 1

Answers

Answer:  [tex]\displaystyle \boldsymbol{-\frac{1}{2}}[/tex]

================================================

Work Shown:

[tex]\displaystyle L = \lim_{\text{x}\to 1^{+}} \frac{1-\text{x}}{\text{x}^2-1}\\\\\\\displaystyle L = \lim_{\text{x}\to 1^{+}} \frac{-(\text{x}-1)}{(\text{x}-1)(\text{x}+1)}\\\\\\\displaystyle L = \lim_{\text{x}\to 1^{+}} \frac{-1}{\text{x}+1}\\\\\\\displaystyle L = \frac{-1}{1+1}\\\\\\\displaystyle L = -\frac{1}{2}\\\\\\[/tex]

In the second step, I used the difference of squares rule to factor.

The (x-1) terms cancel which allows us to plug in x = 1. We plug this value in because x is approaching 1 from the right side.

60 POINTS IF CORRECT AND BRAINLIEST ANSWER FOR COMPLETE ANSWER

Answers

1. The solution to the first percent puzzle is as follows:

                              75%         66²/₃         11¹/₉

          33¹/₃%        25%          22¹/₅%      3⁷/₁₀%

         50%         37¹/₂%          33¹/₃%      5¹/₂%

        50%          37¹/₂%          33¹/₃%      5¹/₂%

2. The solution to the second percent puzzle is as follows:

                           10%             90%

         50%           5%              45%

         50%           5%              45%

What is a percent puzzle?

A percent puzzle is a puzzle that engages students to practice working with percentages.

The percent puzzle involves a matrix format, in which students multiply the column percent by the row percent to find the percent they must put in the missing boxes to complete the puzzle.

The multiplication results for the missing boxes can be either stated in decimals, fractions, or a combination.

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I need to see the steps to the problem for me to fully get it

Answers

The matrix [tex]\vec C[/tex] resulting from the multiplication between matrices [tex]\vec B[/tex] and [tex]\vec A[/tex] is equal to the matrix [tex]\left[\begin{array}{ccc}37&55&- 20\\23&11&- 20\\25&28&-9\end{array}\right][/tex]. (Correct choice: C)

How to find the result of a multiplication of two matrices

In this question we must apply the operation of multiplication of two matrices, whose definition is shown below:

[tex]\vec B\, \cdot \, \vec A[/tex], where [tex]\vec B \in \mathbb {R}_{n \times p}[/tex] and [tex]\vec A \in \mathbb{R}_{p \times n}[/tex]     (1)

Where each element of the resulting matrix is equal to the following expression:

[tex]c_{(i, j)} = b_{(i, p)} \,\bullet\, a_{(p, j)}[/tex]     (2)

Where the operator "[tex]\bullet[/tex]" represents a dot product.

Now we proceed to calculate each element of the matrix:

[tex]c_{(1, 1)} = \left[\begin{array}{ccc}5&7&3\end{array}\right] \,\bullet\,\left[\begin{array}{c}1\\5\\- 1\end{array}\right][/tex]

5 · 1 + 7 · 5 + 3 · (- 1)

37

[tex]c_{(1, 2)} = \left[\begin{array}{ccc}5&7&3\end{array}\right] \,\bullet\,\left[\begin{array}{c}7\\2\\2\end{array}\right][/tex]

5 · 7 + 7 · 2 + 3 · 2

55

[tex]c_{(1, 3)} = \left[\begin{array}{ccc}5&7&3\end{array}\right] \,\bullet\,\left[\begin{array}{c}- 3\\1\\- 4\end{array}\right][/tex]

5 · (- 3) + 7 · 1 + 3 · (- 4)

- 20

[tex]c_{(2, 1)} = \left[\begin{array}{ccc}- 3&7&9\end{array}\right] \,\bullet\,\left[\begin{array}{c}1\\5\\- 1\end{array}\right][/tex]

(- 3) · 1 + 7 · 5 + 9 · (- 1)

23

[tex]c_{(2, 2)} = \left[\begin{array}{ccc}- 3&7&9\end{array}\right] \,\bullet\,\left[\begin{array}{c}7\\2\\2\end{array}\right][/tex]

(- 3) · 7 + 7 · 2 + 9 · 2

11

[tex]c_{(2, 3)} = \left[\begin{array}{ccc}- 3&7&9\end{array}\right] \,\bullet\,\left[\begin{array}{c}- 3\\1\\- 4\end{array}\right][/tex]

(- 3) · (- 3) + 7 · 1 + 9 · (- 4)

- 20

[tex]c_{(3, 1)} = \left[\begin{array}{ccc}2&5&2\end{array}\right] \,\bullet\,\left[\begin{array}{c}1\\5\\- 1\end{array}\right][/tex]

2 · 1 + 5 · 5 + 2 · (- 1)

25

[tex]c_{(3, 2)} = \left[\begin{array}{ccc}2&5&2\end{array}\right] \,\bullet\,\left[\begin{array}{c}7\\2\\2\end{array}\right][/tex]

2 · 7 + 5 · 2 + 2 · 2

28

[tex]c_{(3, 3)} = \left[\begin{array}{ccc}2&5&2\end{array}\right] \,\bullet\,\left[\begin{array}{c}- 3\\1\\- 4\end{array}\right][/tex]

2 · (- 3) + 5 · 1 + 2 · (- 4)

- 9

The matrix [tex]\vec C[/tex] resulting from the multiplication between matrices [tex]\vec B[/tex] and [tex]\vec A[/tex] is equal to the matrix [tex]\left[\begin{array}{ccc}37&55&- 20\\23&11&- 20\\25&28&-9\end{array}\right][/tex]. (Correct choice: C)

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look at the picture

Answers

Answer:

C

Step-by-step explanation:

x²-9x<-8

x²-9x+(-9/2)²<-8+(-9/2)²

(x-9/2)²<-8+81/4

(x-9/2)²<(-32+81)/4

(x-9/2)²<49/4

|x-9/2|<7/2

-7/2<x-9/2<7/2

add 9/2

9/2-7/2<x-9/2+9/2<7/2+9/2

2/2<x<16/2

1<x<8

A bank gives an interest of 12% per annum.How long will it take to double one's interest?​

Answers

6 years!
Divide 72 by your rate and you get the amount of years.
Other Questions
Bluetooth LE ________.a. uses about 0.1 to 0.5 wattsb. assumes that transmissions will be infrequentc. has terse connection openingsd. All of these the two reasons for thoroughly watering a newly planted shrub or tree are to use the ratio test to determine whether the series is convergent or divergent. [infinity] 12n (n 1)62n 1 n = 1 The nurse should adjust a client's heparin dose according to a prescribed anticoagulation order based on maintaining which laboratory value at what therapeutic level for anticoagulant therapy?A) Prothrombin time, 1.5 to 2.5 times the normal control.B) Partial thromboplastin time, 1.5 to 2.5 times the normal control.C) International Normalized Ratio, 2 to 3 seconds.D) Thrombin clotting time, 10 to 15 seconds. most goods in the economy are group of answer choices A. club goods.B. common resources.C. public goodsD. private goods. PLEASE HELP ME ANSWER ASAPSelect ALL the words which the probability of selecting the letter E at random is 1/3THEBESTSNEEZEFREESSPEECH identify the correct statement about the give integers: 23, 41, 49, 64 Bond A has a coupon rate of 10,28 percent, a yield-to-maturity of 14.34 percent and a face value of $1,000,00; matures ings years; and pays coupons annually aith the next coupon expected in 1 year. What is (X+Y+Z) if X is the present value of ary coupon payments expected to be made in 3 years from today, Y is the present value of any coupon payments expected to be made in 6 years from today, and Z is the present value of any coupon payments expected to be made in 9 years from todisy? An amount equal to or greater than $177.76 but less than $233.36 An amount loss than $86.08 or a rate greater than $233.36 An amount equal to or greater than $86.08 but less than $130.16 An amount equal to or greater than $130.16 but less than $147.76 An amount equal to or greater than $147.76 but less than $177.76 During American ImperialismWhat were the major arguments in favor of continuing the policy of isolation? which of the following can help people assess their risk for a particular disease? A shipping box is filled with bakery cake boxes. Each cake box has a volume of 1 cubic foot. The shipping box is 3 feet high. The bottom layer of the shipping box is 6 cake boxes. What is the volume of the shipping box Decide which numbers solve the problem. Select three options. Michaelas favorite fruit to snack on is the ""cotton candy grape. "" She has $20 to spend on a gallon of cider that costs $3. 50 and can spend the rest of her money on cotton candy grapes. The grapes cost $3. 75 per pound. How many pounds of grapes can Michaela buy without spending more than $20? 2 3 4 5 6 PLS HELP ASAP I WILL GIVE BRAINLEIST At the time that Sam began his climb up Mt Everest, it was 3F at the base of the mountain. He knows that the temperature will drop 1 degree for every 500 feet that he climbs. If Mt Everest is just over 29,000 feet tall, what will be the temperature, in degrees Fahrenheit, at the top? A satellite of the Earth has a mass of 100 kg and is at an altitude of 2.001062.00106 m. (a) What is the potential energy of the satelliteEarth system? (b) What is the magnitude of the gravitational force exerted by the Earth on the satellite? (c) What force does the satellite exert on the Earth? What was the US economic aid to European nations TRUE/FALSE. The group of theories that explain how employees meet their needs and determine their success are called process theories Given y=4x+2, find the domain value if the range value is 4 what type of leveling mechanism do native american societies practice which ensures that no one permanently accumulates more wealth than anyone else? 4. Examine the possiblemigration routes shown on themap. Describe the migrationroutes taken by the prehistoricpeople. How are the routesalike? How are they different?How does each rely on theland bridge betweencontinents? Why do you thinkprehistoric people migratedsouth? Consider the function f(x) = {e^-1/x^2 if x 0 0 if x = 0 a. Show that f'(0) = 0. b. Assume that f^(n)(0) = 0 for n = 1, 2, 3, ellipsis (this can be proven using the definition of the derivative.) Write the Maclaurin series for f(x) c. Does the Maclaurin series for f(x) converge to f for x notequalto 0? Explain why or why not.